Hour of day of a pageview/event/purchase, but in the visitor's timezone?

Question

Note: this is totally different to Visits Time-of-day Histogram for last week in Google Analytics, for the reason explained below.

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It's possible to view the "hour of day" of pageviews/events/transactions by doing:

• Customisation > Custom Reports > New custom report. Then I tried the three options Dimension = Hour, or Hour of Day, or Hour index (see screenshot below)

• But this shows the hour of the event from my local timezone! (I tested it for events that I know they happened around 10 pm GMT, and the segment involved only people with at least 6 hour difference from GMT. Still it was reported as hour = 10 pm)

I'd like to know the hours-of-day when visitors visit the website, but with their timezone. How to do this?

What for? Example: to answer this question: do people do a purchase transaction more on morning, midday, evening, night? (of course, with their timezone perspective).

How to do this with Google Analytics?

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Answer 1

After further research, this article Add true user local time layer to Google Analytics data deals exactly with this question:

Google Analytics reports on Account Level time (i.e. hour of day) and not User level time.

It then explains a few solutions to get the hour-of-data with client timezone (blue), rather than the GA account timezone (red).